123033123031313 has 16 divisors (see below), whose sum is σ = 134275486752000. Its totient is φ = 111800356945680.

The previous prime is 123033123031307. The next prime is 123033123031327. The reversal of 123033123031313 is 313130321330321.

It is a cyclic number.

It is not a de Polignac number, because 123033123031313 - 2²⁸ = 123032854595857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123033123031513) 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, 294566858 + ... + 294984236.

It is an arithmetic number, because the mean of its divisors is an integer number (8392217922000).

Almost surely, 2^{123033123031313} is an apocalyptic number.

It is an amenable number.

123033123031313 is a deficient number, since it is larger than the sum of its proper divisors (11242363720687).

123033123031313 is a wasteful number, since it uses less digits than its factorization.

123033123031313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428812.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 123033123031313 its reverse (313130321330321), we get a palindrome (436163444361634).

The spelling of 123033123031313 in words is "one hundred twenty-three trillion, thirty-three billion, one hundred twenty-three million, thirty-one thousand, three hundred thirteen".