31361606430 has 192 divisors, whose sum is σ = 96860703744. Its totient is φ = 6357542400.

The previous prime is 31361606411. The next prime is 31361606453. The reversal of 31361606430 is 3460616313.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 31361606391 and 31361606400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1026759 + ... + 1056861.

It is an arithmetic number, because the mean of its divisors is an integer number (504482832).

Almost surely, 2^31361606430 is an apocalyptic number.

31361606430 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 31361606430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48430351872).

31361606430 is an abundant number, since it is smaller than the sum of its proper divisors (65499097314).

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

31361606430 is a wasteful number, since it uses less digits than its factorization.

31361606430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30183 (or 30172 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 31361606430 in words is "thirty-one billion, three hundred sixty-one million, six hundred six thousand, four hundred thirty".