131121254400 has 312 divisors, whose sum is σ = 435119025600. Its totient is φ = 34836971520.

The previous prime is 131121254399. The next prime is 131121254441. The reversal of 131121254400 is 4452121131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107212189 + ... + 107213411.

Almost surely, 2^131121254400 is an apocalyptic number.

131121254400 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 131121254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217559512800).

131121254400 is an abundant number, since it is smaller than the sum of its proper divisors (303997771200).

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

131121254400 is a wasteful number, since it uses less digits than its factorization.

131121254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 131121254400 its reverse (4452121131), we get a palindrome (135573375531).

The spelling of 131121254400 in words is "one hundred thirty-one billion, one hundred twenty-one million, two hundred fifty-four thousand, four hundred".