10122002033013 has 12 divisors (see below), whose sum is σ = 15745336495980. Its totient is φ = 6228924327936.

The previous prime is 10122002032993. The next prime is 10122002033021. The reversal of 10122002033013 is 31033020022101.

10122002033013 is a `hidden beast` number, since 101 + 2 + 200 + 20 + 330 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2882684435409 + 7239317597604 = 1697847^2 + 2690598^2 .

It is not a de Polignac number, because 10122002033013 - 2²⁶ = 10121934924149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122002033023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43256418828 + ... + 43256419061.

It is an arithmetic number, because the mean of its divisors is an integer number (1312111374665).

Almost surely, 2^{10122002033013} is an apocalyptic number.

10122002033013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10122002033013 is a deficient number, since it is larger than the sum of its proper divisors (5623334462967).

10122002033013 is a wasteful number, since it uses less digits than its factorization.

10122002033013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86512837908 (or 86512837905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10122002033013 its reverse (31033020022101), we get a palindrome (41155022055114).

The spelling of 10122002033013 in words is "ten trillion, one hundred twenty-two billion, two million, thirty-three thousand, thirteen".