122331131012013 has 64 divisors (see below), whose sum is σ = 204416091721728. Its totient is φ = 63218073784320.

The previous prime is 122331131012011. The next prime is 122331131012113. The reversal of 122331131012013 is 310210131133221.

It is not a de Polignac number, because 122331131012013 - 2¹ = 122331131012011 is a prime.

It is a super-2 number, since 2×122331131012013² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331131012011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33946381 + ... + 37376717.

It is an arithmetic number, because the mean of its divisors is an integer number (3194001433152).

Almost surely, 2^{122331131012013} is an apocalyptic number.

It is an amenable number.

122331131012013 is a deficient number, since it is larger than the sum of its proper divisors (82084960709715).

122331131012013 is a wasteful number, since it uses less digits than its factorization.

122331131012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431162.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 122331131012013 its reverse (310210131133221), we get a palindrome (432541262145234).

The spelling of 122331131012013 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one hundred thirty-one million, twelve thousand, thirteen".