131121013100 has 144 divisors (see below), whose sum is σ = 366185895936. Its totient is φ = 39550464000.

The previous prime is 131121013081. The next prime is 131121013117. The reversal of 131121013100 is 1310121131.

It is a happy number.

It is a super-2 number, since 2×131121013100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 35957 + ... + 513356.

Almost surely, 2^131121013100 is an apocalyptic number.

131121013100 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 131121013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183092947968).

131121013100 is an abundant number, since it is smaller than the sum of its proper divisors (235064882836).

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

131121013100 is a wasteful number, since it uses less digits than its factorization.

131121013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549376 (or 549369 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131121013100 its reverse (1310121131), we get a palindrome (132431134231).

The spelling of 131121013100 in words is "one hundred thirty-one billion, one hundred twenty-one million, thirteen thousand, one hundred".