103100331131033 has 16 divisors (see below), whose sum is σ = 110638233311760. Its totient is φ = 95732953344000.

The previous prime is 103100331131027. The next prime is 103100331131123. The reversal of 103100331131033 is 330131133001301.

It can be written as a sum of positive squares in 8 ways, for example, as 7255976590864 + 95844354540169 = 2693692^2 + 9790013^2 .

It is a cyclic number.

It is not a de Polignac number, because 103100331131033 - 2²⁰ = 103100330082457 is a prime.

It is a super-2 number, since 2×103100331131033² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103100331130033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106362338 + ... + 107327291.

It is an arithmetic number, because the mean of its divisors is an integer number (6914889581985).

Almost surely, 2^{103100331131033} is an apocalyptic number.

It is an amenable number.

103100331131033 is a deficient number, since it is larger than the sum of its proper divisors (7537902180727).

103100331131033 is a wasteful number, since it uses less digits than its factorization.

103100331131033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213690028.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 103100331131033 its reverse (330131133001301), we get a palindrome (433231464132334).

The spelling of 103100331131033 in words is "one hundred three trillion, one hundred billion, three hundred thirty-one million, one hundred thirty-one thousand, thirty-three".