101011311312 has 80 divisors (see below), whose sum is σ = 274435768320. Its totient is φ = 31952866176.

The previous prime is 101011311311. The next prime is 101011311341. The reversal of 101011311312 is 213113110101.

It is a super-2 number, since 2×101011311312² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101011311291 and 101011311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011311311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220012 + ... + 500427.

It is an arithmetic number, because the mean of its divisors is an integer number (3430447104).

Almost surely, 2^101011311312 is an apocalyptic number.

101011311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011311312 is an abundant number, since it is smaller than the sum of its proper divisors (173424457008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011311312 is a wasteful number, since it uses less digits than its factorization.

101011311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720600 (or 720594 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101011311312 its reverse (213113110101), we get a palindrome (314124421413).

The spelling of 101011311312 in words is "one hundred one billion, eleven million, three hundred eleven thousand, three hundred twelve".