1401413200131 has 32 divisors (see below), whose sum is σ = 2160008640000. Its totient is φ = 791662798080.

The previous prime is 1401413200093. The next prime is 1401413200147. The reversal of 1401413200131 is 1310023141041.

It is not a de Polignac number, because 1401413200131 - 2¹⁰ = 1401413199107 is a prime.

It is a super-3 number, since 3×1401413200131³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1401413200098 and 1401413200107.

It is not an unprimeable number, because it can be changed into a prime (1401413200331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401106 + ... + 1721543.

It is an arithmetic number, because the mean of its divisors is an integer number (67500270000).

Almost surely, 2^{1401413200131} is an apocalyptic number.

1401413200131 is a deficient number, since it is larger than the sum of its proper divisors (758595439869).

1401413200131 is a wasteful number, since it uses less digits than its factorization.

1401413200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123019.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1401413200131 its reverse (1310023141041), we get a palindrome (2711436341172).

The spelling of 1401413200131 in words is "one trillion, four hundred one billion, four hundred thirteen million, two hundred thousand, one hundred thirty-one".