131213511 has 48 divisors (see below), whose sum is σ = 227939712. Its totient is φ = 71668800.

The previous prime is 131213477. The next prime is 131213561. The reversal of 131213511 is 115312131.

131213511 is a `hidden beast` number, since 1 + 312 + 1 + 351 + 1 = 666.

It is not a de Polignac number, because 131213511 - 2²¹ = 129116359 is a prime.

It is a super-3 number, since 3×131213511³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213561) 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, 54156 + ... + 56526.

It is an arithmetic number, because the mean of its divisors is an integer number (4748744).

Almost surely, 2^131213511 is an apocalyptic number.

131213511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131213511 is a deficient number, since it is larger than the sum of its proper divisors (96726201).

131213511 is a wasteful number, since it uses less digits than its factorization.

131213511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2441 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 131213511 is about 11454.8466161708. The cubic root of 131213511 is about 508.1510790752.

Adding to 131213511 its reverse (115312131), we get a palindrome (246525642).

The spelling of 131213511 in words is "one hundred thirty-one million, two hundred thirteen thousand, five hundred eleven".