131101013232 has 240 divisors, whose sum is σ = 441725656320. Its totient is φ = 35458560000.

The previous prime is 131101013231. The next prime is 131101013297. The reversal of 131101013232 is 232310101131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101013231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43109632 + ... + 43112672.

It is an arithmetic number, because the mean of its divisors is an integer number (1840523568).

Almost surely, 2^131101013232 is an apocalyptic number.

131101013232 is a gapful number since it is divisible by the number (12) 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 131101013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220862828160).

131101013232 is an abundant number, since it is smaller than the sum of its proper divisors (310624643088).

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

131101013232 is a wasteful number, since it uses less digits than its factorization.

131101013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131101013232 its reverse (232310101131), we get a palindrome (363411114363).

The spelling of 131101013232 in words is "one hundred thirty-one billion, one hundred one million, thirteen thousand, two hundred thirty-two".