101312312013 has 48 divisors (see below), whose sum is σ = 166638326400. Its totient is φ = 58712860800.

The previous prime is 101312311979. The next prime is 101312312033. The reversal of 101312312013 is 310213213101.

It is not a de Polignac number, because 101312312013 - 2⁶ = 101312311949 is a prime.

It is a super-2 number, since 2×101312312013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312312033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10353183 + ... + 10362963.

It is an arithmetic number, because the mean of its divisors is an integer number (3471631800).

Almost surely, 2^101312312013 is an apocalyptic number.

It is an amenable number.

101312312013 is a deficient number, since it is larger than the sum of its proper divisors (65326014387).

101312312013 is a wasteful number, since it uses less digits than its factorization.

101312312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14370 (or 14367 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101312312013 its reverse (310213213101), we get a palindrome (411525525114).

The spelling of 101312312013 in words is "one hundred one billion, three hundred twelve million, three hundred twelve thousand, thirteen".