101310022331013 has 32 divisors (see below), whose sum is σ = 143925881904000. Its totient is φ = 63266786263296.

The previous prime is 101310022330999. The next prime is 101310022331057. The reversal of 101310022331013 is 310133220013101.

It is a happy number.

It is not a de Polignac number, because 101310022331013 - 2⁸ = 101310022330757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310022331093) 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, 43966131 + ... + 46212992.

It is an arithmetic number, because the mean of its divisors is an integer number (4497683809500).

Almost surely, 2^{101310022331013} is an apocalyptic number.

It is an amenable number.

101310022331013 is a deficient number, since it is larger than the sum of its proper divisors (42615859572987).

101310022331013 is a wasteful number, since it uses less digits than its factorization.

101310022331013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90179541.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101310022331013 its reverse (310133220013101), we get a palindrome (411443242344114).

The spelling of 101310022331013 in words is "one hundred one trillion, three hundred ten billion, twenty-two million, three hundred thirty-one thousand, thirteen".