310042002132 has 96 divisors (see below), whose sum is σ = 824066006400. Its totient is φ = 100747296000.

The previous prime is 310042002119. The next prime is 310042002133. The reversal of 310042002132 is 231200240013.

310042002132 is a `hidden beast` number, since 31 + 0 + 0 + 420 + 0 + 213 + 2 = 666.

It is a super-2 number, since 2×310042002132² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310042002133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5733919 + ... + 5787737.

It is an arithmetic number, because the mean of its divisors is an integer number (8584020900).

Almost surely, 2^310042002132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310042002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412033003200).

310042002132 is an abundant number, since it is smaller than the sum of its proper divisors (514024004268).

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

310042002132 is a wasteful number, since it uses less digits than its factorization.

310042002132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55174 (or 55166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 310042002132 its reverse (231200240013), we get a palindrome (541242242145).

It can be divided in two parts, 31004 and 2002132, that added together give a triangular number (2033136 = T₂₀₁₆).

The spelling of 310042002132 in words is "three hundred ten billion, forty-two million, two thousand, one hundred thirty-two".