10131401400444 has 72 divisors (see below), whose sum is σ = 25638962076000. Its totient is φ = 3373306844544.

The previous prime is 10131401400443. The next prime is 10131401400467. The reversal of 10131401400444 is 44400410413101.

10131401400444 is a `hidden beast` number, since 10 + 1 + 31 + 40 + 140 + 0 + 444 = 666.

10131401400444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131401400443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218142577 + ... + 218189015.

It is an arithmetic number, because the mean of its divisors is an integer number (356096695500).

Almost surely, 2^{10131401400444} is an apocalyptic number.

It is an amenable number.

10131401400444 is an abundant number, since it is smaller than the sum of its proper divisors (15507560675556).

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

10131401400444 is a wasteful number, since it uses less digits than its factorization.

10131401400444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53187 (or 53182 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10131401400444 its reverse (44400410413101), we get a palindrome (54531811813545).

The spelling of 10131401400444 in words is "ten trillion, one hundred thirty-one billion, four hundred one million, four hundred thousand, four hundred forty-four".