10413131400 has 288 divisors, whose sum is σ = 40072256640. Its totient is φ = 2373857280.

The previous prime is 10413131387. The next prime is 10413131401. The reversal of 10413131400 is 413131401.

10413131400 is a `hidden beast` number, since 104 + 131 + 31 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10413131401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6135352 + ... + 6137048.

It is an arithmetic number, because the mean of its divisors is an integer number (139139780).

Almost surely, 2^10413131400 is an apocalyptic number.

10413131400 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 10413131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20036128320).

10413131400 is an abundant number, since it is smaller than the sum of its proper divisors (29659125240).

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

10413131400 is a wasteful number, since it uses less digits than its factorization.

10413131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2201 counting only the distinct ones).

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

Adding to 10413131400 its reverse (413131401), we get a palindrome (10826262801).

Subtracting from 10413131400 its reverse (413131401), we obtain a palindrome (9999999999).

It can be divided in two parts, 104131 and 31400, that added together give a palindrome (135531).

The spelling of 10413131400 in words is "ten billion, four hundred thirteen million, one hundred thirty-one thousand, four hundred".