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13121021202101 = 2911330713042259
BaseRepresentation
bin1011111011101111100111…
…0011101100111010110101
31201110100122112020120200222
42332323321303230322311
53204433322411431401
643523414112544125
72522651065011401
oct276737163547265
951410575216628
1013121021202101
1141a965944a09a
12157ab37552045
137423cb5c4287
143350bcc38101
1517b49410ac1b
hexbeef9ceceb5

13121021202101 has 16 divisors (see below), whose sum is σ = 13738194993600. Its totient is φ = 12515559452928.

The previous prime is 13121021202059. The next prime is 13121021202103. The reversal of 13121021202101 is 10120212012131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13121021202101 - 238 = 12846143295157 is a prime.

It is a super-2 number, since 2×131210212021012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13121021202101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121021202103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5515091 + ... + 7527168.

It is an arithmetic number, because the mean of its divisors is an integer number (858637187100).

Almost surely, 213121021202101 is an apocalyptic number.

It is an amenable number.

13121021202101 is a deficient number, since it is larger than the sum of its proper divisors (617173791499).

13121021202101 is a wasteful number, since it uses less digits than its factorization.

13121021202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042708.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 13121021202101 its reverse (10120212012131), we get a palindrome (23241233214232).

The spelling of 13121021202101 in words is "thirteen trillion, one hundred twenty-one billion, twenty-one million, two hundred two thousand, one hundred one".

Divisors: 1 29 113 307 3277 8903 34691 1006039 13042259 378225511 1473775267 4003973513 42739482743 116115231877 452449006969 13121021202101