13122100211331 has 16 divisors (see below), whose sum is σ = 17977867225344. Its totient is φ = 8507433295584.

The previous prime is 13122100211173. The next prime is 13122100211369. The reversal of 13122100211331 is 13311200122131.

It is not a de Polignac number, because 13122100211331 - 2²⁶ = 13122033102467 is a prime.

It is a super-2 number, since 2×13122100211331² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13122100211298 and 13122100211307.

It is not an unprimeable number, because it can be changed into a prime (13122100216331) 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, 28935615 + ... + 29385608.

It is an arithmetic number, because the mean of its divisors is an integer number (1123616701584).

Almost surely, 2^{13122100211331} is an apocalyptic number.

13122100211331 is a deficient number, since it is larger than the sum of its proper divisors (4855767014013).

13122100211331 is a wasteful number, since it uses less digits than its factorization.

13122100211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58323290.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13122100211331 its reverse (13311200122131), we get a palindrome (26433300333462).

The spelling of 13122100211331 in words is "thirteen trillion, one hundred twenty-two billion, one hundred million, two hundred eleven thousand, three hundred thirty-one".