131133132413024 has 144 divisors (see below), whose sum is σ = 304666879668480. Its totient is φ = 55386760101120.

The previous prime is 131133132413021. The next prime is 131133132413027. The reversal of 131133132413024 is 420314231331131.

It is an interprime number because it is at equal distance from previous prime (131133132413021) and next prime (131133132413027).

It is a super-3 number, since 3×131133132413024³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133132413021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286886549 + ... + 287343275.

It is an arithmetic number, because the mean of its divisors is an integer number (2115742219920).

Almost surely, 2^{131133132413024} is an apocalyptic number.

131133132413024 is a gapful number since it is divisible by the number (14) 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 131133132413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152333439834240).

131133132413024 is an abundant number, since it is smaller than the sum of its proper divisors (173533747255456).

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

131133132413024 is a wasteful number, since it uses less digits than its factorization.

131133132413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459401 (or 459386 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 131133132413024 its reverse (420314231331131), we get a palindrome (551447363744155).

The spelling of 131133132413024 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, one hundred thirty-two million, four hundred thirteen thousand, twenty-four".