131001300 has 144 divisors (see below), whose sum is σ = 427056000. Its totient is φ = 34875360.

The previous prime is 131001293. The next prime is 131001301. The reversal of 131001300 is 3100131.

It is a super-2 number, since 2×131001300² = 34322681203380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218401 + ... + 218999.

Almost surely, 2^131001300 is an apocalyptic number.

131001300 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 131001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213528000).

131001300 is an abundant number, since it is smaller than the sum of its proper divisors (296054700).

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

131001300 is an equidigital number, since it uses as much as digits as its factorization.

131001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 609 counting only the distinct ones).

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

The square root of 131001300 is about 11445.5799328824. The cubic root of 131001300 is about 507.8769878024.

Adding to 131001300 its reverse (3100131), we get a palindrome (134101431).

It can be divided in two parts, 13100 and 1300, that added together give a square (14400 = 120²).

The spelling of 131001300 in words is "one hundred thirty-one million, one thousand, three hundred".