131313131300 has 144 divisors (see below), whose sum is σ = 315547970304. Its totient is φ = 47122560000.

The previous prime is 131313131273. The next prime is 131313131329. The reversal of 131313131300 is 3131313131.

It is a super-2 number, since 2×131313131300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 14439755 + ... + 14448845.

Almost surely, 2^131313131300 is an apocalyptic number.

131313131300 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 131313131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157773985152).

131313131300 is an abundant number, since it is smaller than the sum of its proper divisors (184234839004).

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

131313131300 is a wasteful number, since it uses less digits than its factorization.

131313131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9423 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131313131300 its reverse (3131313131), we get a palindrome (134444444431).

It can be divided in two parts, 1313131 and 31300, that added together give a palindrome (1344431).

The spelling of 131313131300 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred".