31261433421330 has 192 divisors, whose sum is σ = 94810174617600. Its totient is φ = 7143712458624.

The previous prime is 31261433421193. The next prime is 31261433421349. The reversal of 31261433421330 is 3312433416213.

31261433421330 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 1 + 433 + 4 + 213 + 3 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127463199 + ... + 127708221.

It is an arithmetic number, because the mean of its divisors is an integer number (493802992800).

Almost surely, 2^{31261433421330} is an apocalyptic number.

31261433421330 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 31261433421330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47405087308800).

31261433421330 is an abundant number, since it is smaller than the sum of its proper divisors (63548741196270).

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

31261433421330 is a wasteful number, since it uses less digits than its factorization.

31261433421330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249190 (or 249173 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 31261433421330 its reverse (3312433416213), we get a palindrome (34573866837543).

The spelling of 31261433421330 in words is "thirty-one trillion, two hundred sixty-one billion, four hundred thirty-three million, four hundred twenty-one thousand, three hundred thirty".