103313010032131 has 48 divisors (see below), whose sum is σ = 115709949881856. Its totient is φ = 92043000935424.

The previous prime is 103313010032117. The next prime is 103313010032201. The reversal of 103313010032131 is 131230010313301.

It is not a de Polignac number, because 103313010032131 - 2¹⁵ = 103313009999363 is a prime.

It is a super-2 number, since 2×103313010032131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103313010132131) 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, 687683335 + ... + 687833551.

It is an arithmetic number, because the mean of its divisors is an integer number (2410623955872).

Almost surely, 2^{103313010032131} is an apocalyptic number.

103313010032131 is a deficient number, since it is larger than the sum of its proper divisors (12396939849725).

103313010032131 is a wasteful number, since it uses less digits than its factorization.

103313010032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151348 (or 151331 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 103313010032131 its reverse (131230010313301), we get a palindrome (234543020345432).

The spelling of 103313010032131 in words is "one hundred three trillion, three hundred thirteen billion, ten million, thirty-two thousand, one hundred thirty-one".