131021200321400 has 192 divisors, whose sum is σ = 317048965008000. Its totient is φ = 50309799321600.

The previous prime is 131021200321397. The next prime is 131021200321409. The reversal of 131021200321400 is 4123002120131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021200321409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 807251456 + ... + 807413744.

It is an arithmetic number, because the mean of its divisors is an integer number (1651296692750).

Almost surely, 2^{131021200321400} is an apocalyptic number.

131021200321400 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 131021200321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158524482504000).

131021200321400 is an abundant number, since it is smaller than the sum of its proper divisors (186027764686600).

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

131021200321400 is a wasteful number, since it uses less digits than its factorization.

131021200321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163802 (or 163793 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131021200321400 its reverse (4123002120131), we get a palindrome (135144202441531).

The spelling of 131021200321400 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred million, three hundred twenty-one thousand, four hundred".