101131111313310 has 128 divisors (see below), whose sum is σ = 265701083042304. Its totient is φ = 24482854402560.

The previous prime is 101131111313251. The next prime is 101131111313389. The reversal of 101131111313310 is 13313111131101.

It is a super-2 number, since 2×101131111313310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206895417 + ... + 207383643.

It is an arithmetic number, because the mean of its divisors is an integer number (2075789711268).

Almost surely, 2^{101131111313310} is an apocalyptic number.

101131111313310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101131111313310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132850541521152).

101131111313310 is an abundant number, since it is smaller than the sum of its proper divisors (164569971728994).

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

101131111313310 is a wasteful number, since it uses less digits than its factorization.

101131111313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497018.

The product of its (nonzero) digits is 81, while the sum is 21.

Adding to 101131111313310 its reverse (13313111131101), we get a palindrome (114444222444411).

The spelling of 101131111313310 in words is "one hundred one trillion, one hundred thirty-one billion, one hundred eleven million, three hundred thirteen thousand, three hundred ten".