120031121313313 has 32 divisors (see below), whose sum is σ = 142593855528960. Its totient is φ = 98906130872640.

The previous prime is 120031121313281. The next prime is 120031121313331. The reversal of 120031121313313 is 313313121130021.

It is not a de Polignac number, because 120031121313313 - 2⁵ = 120031121313281 is a prime.

It is a super-2 number, since 2×120031121313313² (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 (120031121313373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423853 + ... + 15499738.

It is an arithmetic number, because the mean of its divisors is an integer number (4456057985280).

Almost surely, 2^{120031121313313} is an apocalyptic number.

It is an amenable number.

120031121313313 is a deficient number, since it is larger than the sum of its proper divisors (22562734215647).

120031121313313 is a wasteful number, since it uses less digits than its factorization.

120031121313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15924037.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 120031121313313 its reverse (313313121130021), we get a palindrome (433344242443334).

The spelling of 120031121313313 in words is "one hundred twenty trillion, thirty-one billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred thirteen".