13131401400 has 288 divisors, whose sum is σ = 48980682000. Its totient is φ = 3232120320.

The previous prime is 13131401369. The next prime is 13131401419. The reversal of 13131401400 is 410413131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 905406 + ... + 919794.

Almost surely, 2^13131401400 is an apocalyptic number.

13131401400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24490341000).

13131401400 is an abundant number, since it is smaller than the sum of its proper divisors (35849280600).

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

13131401400 is a wasteful number, since it uses less digits than its factorization.

13131401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14440 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13131401400 its reverse (410413131), we get a palindrome (13541814531).

The spelling of 13131401400 in words is "thirteen billion, one hundred thirty-one million, four hundred one thousand, four hundred".