31101332130 has 256 divisors, whose sum is σ = 92512627200. Its totient is φ = 7372062720.

The previous prime is 31101332107. The next prime is 31101332153. The reversal of 31101332130 is 3123310113.

It is a happy number.

31101332130 is a `hidden beast` number, since 311 + 0 + 1 + 3 + 321 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (31101332107) and next prime (31101332153).

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 127 ways as a sum of consecutive naturals, for example, 25639404 + ... + 25640616.

It is an arithmetic number, because the mean of its divisors is an integer number (361377450).

Almost surely, 2^31101332130 is an apocalyptic number.

31101332130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31101332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46256313600).

31101332130 is an abundant number, since it is smaller than the sum of its proper divisors (61411295070).

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

31101332130 is a wasteful number, since it uses less digits than its factorization.

31101332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31101332130 its reverse (3123310113), we get a palindrome (34224642243).

The spelling of 31101332130 in words is "thirty-one billion, one hundred one million, three hundred thirty-two thousand, one hundred thirty".