331434113010 has 768 divisors, whose sum is σ = 1143574806528. Its totient is φ = 60354201600.

The previous prime is 331434112991. The next prime is 331434113041. The reversal of 331434113010 is 10311434133.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 334443615 + ... + 334444605.

It is an arithmetic number, because the mean of its divisors is an integer number (1489029696).

Almost surely, 2^331434113010 is an apocalyptic number.

331434113010 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 331434113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571787403264).

331434113010 is an abundant number, since it is smaller than the sum of its proper divisors (812140693518).

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

331434113010 is a wasteful number, since it uses less digits than its factorization.

331434113010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331434113010 its reverse (10311434133), we get a palindrome (341745547143).

It can be divided in two parts, 331434 and 113010, that added together give a palindrome (444444).

The spelling of 331434113010 in words is "three hundred thirty-one billion, four hundred thirty-four million, one hundred thirteen thousand, ten".