131000004320400 has 90 divisors (see below), whose sum is σ = 454606403894370. Its totient is φ = 34933334484480.

The previous prime is 131000004320399. The next prime is 131000004320441. The reversal of 131000004320400 is 4023400000131.

It can be written as a sum of positive squares in 3 ways, for example, as 35875390464 + 130964128929936 = 189408^2 + 11443956^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×131000004320400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18194441445 + ... + 18194448644.

It is an arithmetic number, because the mean of its divisors is an integer number (5051182265493).

Almost surely, 2^{131000004320400} is an apocalyptic number.

131000004320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000004320400 is an abundant number, since it is smaller than the sum of its proper divisors (323606399573970).

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

131000004320400 is a wasteful number, since it uses less digits than its factorization.

131000004320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36388890113 (or 36388890099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131000004320400 its reverse (4023400000131), we get a palindrome (135023404320531).

The spelling of 131000004320400 in words is "one hundred thirty-one trillion, four million, three hundred twenty thousand, four hundred".