131033103000000 has 392 divisors, whose sum is σ = 433655316640896. Its totient is φ = 34918281600000.

The previous prime is 131033102999899. The next prime is 131033103000077. The reversal of 131033103000000 is 301330131.

131033103000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4628985847 + ... + 4629014153.

Almost surely, 2^{131033103000000} is an apocalyptic number.

131033103000000 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 131033103000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216827658320448).

131033103000000 is an abundant number, since it is smaller than the sum of its proper divisors (302622213640896).

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

131033103000000 is an frugal number, since it uses more digits than its factorization.

131033103000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29895 (or 29860 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 131033103000000 its reverse (301330131), we get a palindrome (131033404330131).

The spelling of 131033103000000 in words is "one hundred thirty-one trillion, thirty-three billion, one hundred three million", and thus it is an aban number.