10022001311313 has 48 divisors (see below), whose sum is σ = 15272436816000. Its totient is φ = 6315447191040.

The previous prime is 10022001311303. The next prime is 10022001311321. The reversal of 10022001311313 is 31311310022001.

10022001311313 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 0 + 131 + 1 + 313 = 666.

It is not a de Polignac number, because 10022001311313 - 2⁴ = 10022001311297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022001311303) 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, 181988803 + ... + 182043863.

It is an arithmetic number, because the mean of its divisors is an integer number (318175767000).

Almost surely, 2^{10022001311313} is an apocalyptic number.

It is an amenable number.

10022001311313 is a deficient number, since it is larger than the sum of its proper divisors (5250435504687).

10022001311313 is a wasteful number, since it uses less digits than its factorization.

10022001311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57462 (or 57459 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10022001311313 its reverse (31311310022001), we get a palindrome (41333311333314).

The spelling of 10022001311313 in words is "ten trillion, twenty-two billion, one million, three hundred eleven thousand, three hundred thirteen".