103313133101113 has 32 divisors (see below), whose sum is σ = 112281017788800. Its totient is φ = 94495375488000.

The previous prime is 103313133101107. The next prime is 103313133101119. The reversal of 103313133101113 is 311101331313301.

It is an interprime number because it is at equal distance from previous prime (103313133101107) and next prime (103313133101119).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103313133101113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103313133101119) 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, 878013678 + ... + 878131336.

It is an arithmetic number, because the mean of its divisors is an integer number (3508781805900).

Almost surely, 2^{103313133101113} is an apocalyptic number.

103313133101113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103313133101113 is a deficient number, since it is larger than the sum of its proper divisors (8967884687687).

103313133101113 is a wasteful number, since it uses less digits than its factorization.

103313133101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119193.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 103313133101113 its reverse (311101331313301), we get a palindrome (414414464414414).

The spelling of 103313133101113 in words is "one hundred three trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred one thousand, one hundred thirteen".