131001100230000 has 3200 divisors, whose sum is σ = 595696177004544. Its totient is φ = 23904460800000.

The previous prime is 131001100229983. The next prime is 131001100230061. The reversal of 131001100230000 is 32001100131.

131001100230000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131001100230000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 166456289607 + ... + 166456290393.

Almost surely, 2^{131001100230000} is an apocalyptic number.

131001100230000 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 131001100230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297848088502272).

131001100230000 is an abundant number, since it is smaller than the sum of its proper divisors (464695076774544).

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

131001100230000 is a wasteful number, since it uses less digits than its factorization.

131001100230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131001100230000 its reverse (32001100131), we get a palindrome (131033101330131).

The spelling of 131001100230000 in words is "one hundred thirty-one trillion, one billion, one hundred million, two hundred thirty thousand".