13022110010013 has 16 divisors (see below), whose sum is σ = 18701221894656. Its totient is φ = 8012402936640.

The previous prime is 13022110009973. The next prime is 13022110010017. The reversal of 13022110010013 is 31001001122031.

It is a happy number.

It is not a de Polignac number, because 13022110010013 - 2⁶ = 13022110009949 is a prime.

It is a super-2 number, since 2×13022110010013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13022110009974 and 13022110010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022110010017) 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, 24804045 + ... + 25323602.

It is an arithmetic number, because the mean of its divisors is an integer number (1168826368416).

Almost surely, 2^{13022110010013} is an apocalyptic number.

13022110010013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13022110010013 is a deficient number, since it is larger than the sum of its proper divisors (5679111884643).

13022110010013 is a wasteful number, since it uses less digits than its factorization.

13022110010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50134324.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13022110010013 its reverse (31001001122031), we get a palindrome (44023111132044).

The spelling of 13022110010013 in words is "thirteen trillion, twenty-two billion, one hundred ten million, ten thousand, thirteen".