131013301100 has 144 divisors (see below), whose sum is σ = 328666464000. Its totient is φ = 44829792000.

The previous prime is 131013301087. The next prime is 131013301121. The reversal of 131013301100 is 1103310131.

It is a happy number.

It is a super-2 number, since 2×131013301100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3093065 + ... + 3135135.

It is an arithmetic number, because the mean of its divisors is an integer number (2282406000).

Almost surely, 2^131013301100 is an apocalyptic number.

131013301100 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 131013301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164333232000).

131013301100 is an abundant number, since it is smaller than the sum of its proper divisors (197653162900).

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

131013301100 is a wasteful number, since it uses less digits than its factorization.

131013301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42264 (or 42257 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 131013301100 its reverse (1103310131), we get a palindrome (132116611231).

The spelling of 131013301100 in words is "one hundred thirty-one billion, thirteen million, three hundred one thousand, one hundred".