131033364 has 48 divisors (see below), whose sum is σ = 381190656. Its totient is φ = 34034400.

The previous prime is 131033363. The next prime is 131033389. The reversal of 131033364 is 463330131.

131033364 = T₂₃₅ + T₂₃₆ + ... + T₉₂₇.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69982 + ... + 71829.

It is an arithmetic number, because the mean of its divisors is an integer number (7941472).

Almost surely, 2^131033364 is an apocalyptic number.

131033364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131033364 is an abundant number, since it is smaller than the sum of its proper divisors (250157292).

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

131033364 is a wasteful number, since it uses less digits than its factorization.

131033364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141836 (or 141834 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 131033364 is about 11446.9805625763. The cubic root of 131033364 is about 507.9184205701.

Adding to 131033364 its reverse (463330131), we get a palindrome (594363495).

The spelling of 131033364 in words is "one hundred thirty-one million, thirty-three thousand, three hundred sixty-four".