331224432101013 has 128 divisors (see below), whose sum is σ = 526006689398784. Its totient is φ = 183122776166400.

The previous prime is 331224432101011. The next prime is 331224432101051. The reversal of 331224432101013 is 310101234422133.

It is not a de Polignac number, because 331224432101013 - 2¹ = 331224432101011 is a prime.

It is a super-2 number, since 2×331224432101013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331224432101011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1820013483 + ... + 1820195463.

It is an arithmetic number, because the mean of its divisors is an integer number (4109427260928).

Almost surely, 2^{331224432101013} is an apocalyptic number.

331224432101013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331224432101013 is a deficient number, since it is larger than the sum of its proper divisors (194782257297771).

331224432101013 is a wasteful number, since it uses less digits than its factorization.

331224432101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182635.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 331224432101013 its reverse (310101234422133), we get a palindrome (641325666523146).

The spelling of 331224432101013 in words is "three hundred thirty-one trillion, two hundred twenty-four billion, four hundred thirty-two million, one hundred one thousand, thirteen".