31350132000 has 576 divisors, whose sum is σ = 125483904000. Its totient is φ = 7596864000.

The previous prime is 31350131983. The next prime is 31350132017. The reversal of 31350132000 is 23105313.

It is an interprime number because it is at equal distance from previous prime (31350131983) and next prime (31350132017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13066801 + ... + 13069199.

It is an arithmetic number, because the mean of its divisors is an integer number (217854000).

Almost surely, 2^31350132000 is an apocalyptic number.

31350132000 is a gapful number since it is divisible by the number (30) 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 31350132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952000).

31350132000 is an abundant number, since it is smaller than the sum of its proper divisors (94133772000).

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

31350132000 is a wasteful number, since it uses less digits than its factorization.

31350132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 31350132000 its reverse (23105313), we get a palindrome (31373237313).

The spelling of 31350132000 in words is "thirty-one billion, three hundred fifty million, one hundred thirty-two thousand".