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13121222212131 = 311435583912829
BaseRepresentation
bin1011111011110000010111…
…0010011111101000100011
31201110101011112110221121220
42332330011302133220203
53204434230341242011
643523450053150123
72522656055403435
oct276740562375043
951411145427556
1013121222212131
1141a9751961990
12157ab9292b343
13742431143217
143350db800655
1517b4a6ab4506
hexbef05c9fa23

13121222212131 has 16 divisors (see below), whose sum is σ = 19085478850560. Its totient is φ = 7952228917920.

The previous prime is 13121222212103. The next prime is 13121222212159.

13121222212131 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13121222212103) and next prime (13121222212159).

It is not a de Polignac number, because 13121222212131 - 26 = 13121222212067 is a prime.

It is a super-2 number, since 2×131212222121312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13121222211131) 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, 13917825 + ... + 14830653.

It is an arithmetic number, because the mean of its divisors is an integer number (1192842428160).

Almost surely, 213121222212131 is an apocalyptic number.

13121222212131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13121222212131 is a deficient number, since it is larger than the sum of its proper divisors (5964256638429).

13121222212131 is a wasteful number, since it uses less digits than its factorization.

13121222212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348426.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 1312122 and 2212131, that added together give a palindrome (3524253).

The spelling of 13121222212131 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 11 33 435583 912829 1306749 2738487 4791413 10041119 14374239 30123357 397612794307 1192838382921 4373740737377 13121222212131