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13121023102011 = 3411103314255737
BaseRepresentation
bin1011111011101111100111…
…1010111100110000111011
31201110100122122211002220000
42332323321322330300323
53204433323403231021
643523414221404043
72522651120113446
oct276737172746073
951410578732800
1013121023102011
1141a965a527570
12157ab38109623
137423cbb0ac96
143350bd1b065d
1517b494383b26
hexbeef9ebcc3b

13121023102011 has 40 divisors (see below), whose sum is σ = 21403108849584. Its totient is φ = 7944436558080.

The previous prime is 13121023101983. The next prime is 13121023102039. The reversal of 13121023102011 is 11020132012131.

13121023102011 is a `hidden beast` number, since 1 + 312 + 10 + 2 + 310 + 20 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (13121023101983) and next prime (13121023102039).

It is not a de Polignac number, because 13121023102011 - 214 = 13121023085627 is a prime.

It is a super-2 number, since 2×131210231020112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13121023102081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6207466 + ... + 8048271.

Almost surely, 213121023102011 is an apocalyptic number.

13121023102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13121023102011 is a deficient number, since it is larger than the sum of its proper divisors (8282085747573).

13121023102011 is a wasteful number, since it uses less digits than its factorization.

13121023102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14256793 (or 14256784 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13121023102011 its reverse (11020132012131), we get a palindrome (24141155114142).

The spelling of 13121023102011 in words is "thirteen trillion, one hundred twenty-one billion, twenty-three million, one hundred two thousand, eleven".

Divisors: 1 3 9 11 27 33 81 99 297 891 1033 3099 9297 11363 27891 34089 83673 102267 306801 920403 14255737 42767211 128301633 156813107 384904899 470439321 1154714697 1411317963 4233953889 12701861667 14726176321 44178528963 132535586889 161987939531 397606760667 485963818593 1192820282001 1457891455779 4373674367337 13121023102011