3131042214300 has 864 divisors, whose sum is σ = 12501598846464. Its totient is φ = 594687744000.

The previous prime is 3131042214299. The next prime is 3131042214337. The reversal of 3131042214300 is 34122401313.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 216509070 + ... + 216523530.

Almost surely, 2^{3131042214300} is an apocalyptic number.

3131042214300 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 3131042214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250799423232).

3131042214300 is an abundant number, since it is smaller than the sum of its proper divisors (9370556632164).

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

3131042214300 is a wasteful number, since it uses less digits than its factorization.

3131042214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619 (or 14605 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3131042214300 its reverse (34122401313), we get a palindrome (3165164615613).

The spelling of 3131042214300 in words is "three trillion, one hundred thirty-one billion, forty-two million, two hundred fourteen thousand, three hundred".