103313210031113 has 24 divisors (see below), whose sum is σ = 111816071421912. Its totient is φ = 95417136912384.

The previous prime is 103313210031107. The next prime is 103313210031133. The reversal of 103313210031113 is 311130012313301.

It can be written as a sum of positive squares in 12 ways, for example, as 40726468864 + 103272483562249 = 201808^2 + 10162307^2 .

It is not a de Polignac number, because 103313210031113 - 2⁶ = 103313210031049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103313210031133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8272970 + ... + 16585187.

It is an arithmetic number, because the mean of its divisors is an integer number (4659002975913).

Almost surely, 2^{103313210031113} is an apocalyptic number.

It is an amenable number.

103313210031113 is a deficient number, since it is larger than the sum of its proper divisors (8502861390799).

103313210031113 is a wasteful number, since it uses less digits than its factorization.

103313210031113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24858461 (or 24858444 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 103313210031113 its reverse (311130012313301), we get a palindrome (414443222344414).

The spelling of 103313210031113 in words is "one hundred three trillion, three hundred thirteen billion, two hundred ten million, thirty-one thousand, one hundred thirteen".