31233300013400 has 96 divisors (see below), whose sum is σ = 75869785585440. Its totient is φ = 11935136885760.

The previous prime is 31233300013397. The next prime is 31233300013403. The reversal of 31233300013400 is 431000333213.

It is an interprime number because it is at equal distance from previous prime (31233300013397) and next prime (31233300013403).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31233300013403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593429 + ... + 7925828.

It is an arithmetic number, because the mean of its divisors is an integer number (790310266515).

Almost surely, 2^{31233300013400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31233300013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37934892792720).

31233300013400 is an abundant number, since it is smaller than the sum of its proper divisors (44636485572040).

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

31233300013400 is a wasteful number, since it uses less digits than its factorization.

31233300013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520093 (or 8520084 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 31233300013400 its reverse (431000333213), we get a palindrome (31664300346613).

The spelling of 31233300013400 in words is "thirty-one trillion, two hundred thirty-three billion, three hundred million, thirteen thousand, four hundred".