131102100000 has 864 divisors, whose sum is σ = 497920131072. Its totient is φ = 32659200000.

The previous prime is 131102099971. The next prime is 131102100007. The reversal of 131102100000 is 1201131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (131102100007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1032299937 + ... + 1032300063.

It is an arithmetic number, because the mean of its divisors is an integer number (576296448).

Almost surely, 2^131102100000 is an apocalyptic number.

131102100000 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 131102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248960065536).

131102100000 is an abundant number, since it is smaller than the sum of its proper divisors (366818031072).

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

131102100000 is a wasteful number, since it uses less digits than its factorization.

131102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 131102100000 its reverse (1201131), we get a palindrome (131103301131).

The spelling of 131102100000 in words is "one hundred thirty-one billion, one hundred two million, one hundred thousand".