31368842100 has 216 divisors, whose sum is σ = 103757734080. Its totient is φ = 7910960640.

The previous prime is 31368842083. The next prime is 31368842101. The reversal of 31368842100 is 124886313.

31368842100 is a `hidden beast` number, since 3 + 1 + 368 + 84 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31368842101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1833787 + ... + 1850813.

It is an arithmetic number, because the mean of its divisors is an integer number (480359880).

Almost surely, 2^31368842100 is an apocalyptic number.

31368842100 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 31368842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51878867040).

31368842100 is an abundant number, since it is smaller than the sum of its proper divisors (72388891980).

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

31368842100 is a wasteful number, since it uses less digits than its factorization.

31368842100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17159 (or 17149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 31368842100 in words is "thirty-one billion, three hundred sixty-eight million, eight hundred forty-two thousand, one hundred".