10102211132013 has 48 divisors (see below), whose sum is σ = 19592167061376. Its totient is φ = 4844217121920.

The previous prime is 10102211131933. The next prime is 10102211132017. The reversal of 10102211132013 is 31023111220101.

10102211132013 is a `hidden beast` number, since 101 + 0 + 221 + 11 + 320 + 13 = 666.

It is not a de Polignac number, because 10102211132013 - 2²⁴ = 10102194354797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102211132017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560664270 + ... + 560682287.

It is an arithmetic number, because the mean of its divisors is an integer number (408170147112).

Almost surely, 2^{10102211132013} is an apocalyptic number.

10102211132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102211132013 is a deficient number, since it is larger than the sum of its proper divisors (9489955929363).

10102211132013 is a wasteful number, since it uses less digits than its factorization.

10102211132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121346594 (or 1121346591 counting only the distinct ones).

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

Adding to 10102211132013 its reverse (31023111220101), we get a palindrome (41125322352114).

The spelling of 10102211132013 in words is "ten trillion, one hundred two billion, two hundred eleven million, one hundred thirty-two thousand, thirteen".