123021202133313 has 96 divisors (see below), whose sum is σ = 197523946414080. Its totient is φ = 73159564072320.

The previous prime is 123021202133309. The next prime is 123021202133351. The reversal of 123021202133313 is 313331202120321.

123021202133313 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 212 + 0 + 2 + 133 + 313 = 666.

It is not a de Polignac number, because 123021202133313 - 2² = 123021202133309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123021202933313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3836842720 + ... + 3836874782.

It is an arithmetic number, because the mean of its divisors is an integer number (2057541108480).

Almost surely, 2^{123021202133313} is an apocalyptic number.

It is an amenable number.

123021202133313 is a deficient number, since it is larger than the sum of its proper divisors (74502744280767).

123021202133313 is a wasteful number, since it uses less digits than its factorization.

123021202133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35619 (or 35616 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123021202133313 its reverse (313331202120321), we get a palindrome (436352404253634).

The spelling of 123021202133313 in words is "one hundred twenty-three trillion, twenty-one billion, two hundred two million, one hundred thirty-three thousand, three hundred thirteen".