103312313133021 has 6 divisors (see below), whose sum is σ = 149228896747710. Its totient is φ = 68874875422008.

The previous prime is 103312313133017. The next prime is 103312313133047. The reversal of 103312313133021 is 120331313213301.

103312313133021 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 12 + 31 + 313 + 302 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87598929924900 + 15713383208121 = 9359430^2 + 3964011^2 .

It is not a de Polignac number, because 103312313133021 - 2² = 103312313133017 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312313133091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5739572951826 + ... + 5739572951843.

It is an arithmetic number, because the mean of its divisors is an integer number (24871482791285).

Almost surely, 2^{103312313133021} is an apocalyptic number.

It is an amenable number.

103312313133021 is a deficient number, since it is larger than the sum of its proper divisors (45916583614689).

103312313133021 is a wasteful number, since it uses less digits than its factorization.

103312313133021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11479145903675 (or 11479145903672 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 103312313133021 its reverse (120331313213301), we get a palindrome (223643626346322).

The spelling of 103312313133021 in words is "one hundred three trillion, three hundred twelve billion, three hundred thirteen million, one hundred thirty-three thousand, twenty-one".