101311131400 has 48 divisors (see below), whose sum is σ = 245789625600. Its totient is φ = 38762518080.

The previous prime is 101311131373. The next prime is 101311131401. The reversal of 101311131400 is 4131113101.

It is not an unprimeable number, because it can be changed into a prime (101311131401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11007480 + ... + 11016679.

It is an arithmetic number, because the mean of its divisors is an integer number (5120617200).

Almost surely, 2^101311131400 is an apocalyptic number.

101311131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311131400 is an abundant number, since it is smaller than the sum of its proper divisors (144478494200).

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

101311131400 is a wasteful number, since it uses less digits than its factorization.

101311131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22024198 (or 22024189 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101311131400 its reverse (4131113101), we get a palindrome (105442244501).

The spelling of 101311131400 in words is "one hundred one billion, three hundred eleven million, one hundred thirty-one thousand, four hundred".