31334213040 has 160 divisors (see below), whose sum is σ = 104777460480. Its totient is φ = 7700548608.

The previous prime is 31334213039. The next prime is 31334213107. The reversal of 31334213040 is 4031243313.

It is a super-2 number, since 2×31334213040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31334213040.

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 31 ways as a sum of consecutive naturals, for example, 1998351 + ... + 2013969.

It is an arithmetic number, because the mean of its divisors is an integer number (654859128).

Almost surely, 2^31334213040 is an apocalyptic number.

31334213040 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 31334213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52388730240).

31334213040 is an abundant number, since it is smaller than the sum of its proper divisors (73443247440).

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

31334213040 is a wasteful number, since it uses less digits than its factorization.

31334213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16291 (or 16285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31334213040 its reverse (4031243313), we get a palindrome (35365456353).

The spelling of 31334213040 in words is "thirty-one billion, three hundred thirty-four million, two hundred thirteen thousand, forty".