10002231142113 has 32 divisors (see below), whose sum is σ = 15277077376000. Its totient is φ = 5702224858560.

The previous prime is 10002231142109. The next prime is 10002231142193. The reversal of 10002231142113 is 31124113220001.

10002231142113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002231142113 - 2² = 10002231142109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002231142113.

It is not an unprimeable number, because it can be changed into a prime (10002231142193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31920306 + ... + 32232132.

It is an arithmetic number, because the mean of its divisors is an integer number (477408668000).

Almost surely, 2^{10002231142113} is an apocalyptic number.

It is an amenable number.

10002231142113 is a deficient number, since it is larger than the sum of its proper divisors (5274846233887).

10002231142113 is a wasteful number, since it uses less digits than its factorization.

10002231142113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315397.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10002231142113 its reverse (31124113220001), we get a palindrome (41126344362114).

The spelling of 10002231142113 in words is "ten trillion, two billion, two hundred thirty-one million, one hundred forty-two thousand, one hundred thirteen".