13131323100 has 360 divisors, whose sum is σ = 49150583328. Its totient is φ = 2970432000.

The previous prime is 13131323081. The next prime is 13131323119. The reversal of 13131323100 is 132313131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13131323081) and next prime (13131323119).

It is a super-2 number, since 2×13131323100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5725554 + ... + 5727846.

Almost surely, 2^13131323100 is an apocalyptic number.

13131323100 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 13131323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24575291664).

13131323100 is an abundant number, since it is smaller than the sum of its proper divisors (36019260228).

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

13131323100 is a wasteful number, since it uses less digits than its factorization.

13131323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13131323100 its reverse (132313131), we get a palindrome (13263636231).

The spelling of 13131323100 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred".