331130100 has 288 divisors, whose sum is σ = 1185479680. Its totient is φ = 69672960.

The previous prime is 331130089. The next prime is 331130101. The reversal of 331130100 is 1031133.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331130101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1715604 + ... + 1715796.

Almost surely, 2^331130100 is an apocalyptic number.

331130100 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 331130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592739840).

331130100 is an abundant number, since it is smaller than the sum of its proper divisors (854349580).

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

331130100 is a wasteful number, since it uses less digits than its factorization.

331130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 331130100 is about 18196.9805187564. The cubic root of 331130100 is about 691.8302595250.

Adding to 331130100 its reverse (1031133), we get a palindrome (332161233).

It can be divided in two parts, 3311 and 30100, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 331130100 in words is "three hundred thirty-one million, one hundred thirty thousand, one hundred".