131101013100 has 144 divisors (see below), whose sum is σ = 404192442528. Its totient is φ = 32694005760.

The previous prime is 131101013053. The next prime is 131101013107. The reversal of 131101013100 is 1310101131.

It is a super-2 number, since 2×131101013100² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131101013107) 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, 718834 + ... + 882566.

It is an arithmetic number, because the mean of its divisors is an integer number (2806891962).

Almost surely, 2^131101013100 is an apocalyptic number.

131101013100 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 131101013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202096221264).

131101013100 is an abundant number, since it is smaller than the sum of its proper divisors (273091429428).

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

131101013100 is a wasteful number, since it uses less digits than its factorization.

131101013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163924 (or 163917 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 131101013100 its reverse (1310101131), we get a palindrome (132411114231).

The spelling of 131101013100 in words is "one hundred thirty-one billion, one hundred one million, thirteen thousand, one hundred".