131000742400 has 240 divisors, whose sum is σ = 365504249088. Its totient is φ = 46098432000.

The previous prime is 131000742319. The next prime is 131000742451. The reversal of 131000742400 is 4247000131.

It is a super-2 number, since 2×131000742400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 4349794 + ... + 4379806.

Almost surely, 2^131000742400 is an apocalyptic number.

131000742400 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 131000742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182752124544).

131000742400 is an abundant number, since it is smaller than the sum of its proper divisors (234503506688).

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

131000742400 is a wasteful number, since it uses less digits than its factorization.

131000742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30083 (or 30062 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 131000742400 its reverse (4247000131), we get a palindrome (135247742531).

The spelling of 131000742400 in words is "one hundred thirty-one billion, seven hundred forty-two thousand, four hundred".