32312211314130 has 256 divisors, whose sum is σ = 99653871697920. Its totient is φ = 7375696185600.

The previous prime is 32312211314077. The next prime is 32312211314137. The reversal of 32312211314130 is 3141311221323.

32312211314130 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 2 + 211 + 31 + 413 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32312211314094 and 32312211314103.

It is not an unprimeable number, because it can be changed into a prime (32312211314137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1336014 + ... + 8149193.

It is an arithmetic number, because the mean of its divisors is an integer number (389272936320).

Almost surely, 2^{32312211314130} is an apocalyptic number.

32312211314130 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 32312211314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49826935848960).

32312211314130 is an abundant number, since it is smaller than the sum of its proper divisors (67341660383790).

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

32312211314130 is a wasteful number, since it uses less digits than its factorization.

32312211314130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9485302 (or 9485296 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 32312211314130 its reverse (3141311221323), we get a palindrome (35453522535453).

The spelling of 32312211314130 in words is "thirty-two trillion, three hundred twelve billion, two hundred eleven million, three hundred fourteen thousand, one hundred thirty".