131022133440 has 896 divisors, whose sum is σ = 511946956800. Its totient is φ = 27978301440.

The previous prime is 131022133439. The next prime is 131022133469. The reversal of 131022133440 is 44331220131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131022133440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 364963981 + ... + 364964339.

Almost surely, 2^131022133440 is an apocalyptic number.

131022133440 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 131022133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255973478400).

131022133440 is an abundant number, since it is smaller than the sum of its proper divisors (380924823360).

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

131022133440 is a wasteful number, since it uses less digits than its factorization.

131022133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131022133440 its reverse (44331220131), we get a palindrome (175353353571).

It can be divided in two parts, 131022 and 133440, that added together give a palindrome (264462).

The spelling of 131022133440 in words is "one hundred thirty-one billion, twenty-two million, one hundred thirty-three thousand, four hundred forty".