113211312021000 has 192 divisors, whose sum is σ = 382674943076400. Its totient is φ = 30188049408000.

The previous prime is 113211312020993. The next prime is 113211312021007. The reversal of 113211312021000 is 120213112311.

113211312021000 is a `hidden beast` number, since 1 + 1 + 321 + 13 + 120 + 210 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113211312020993) and next prime (113211312021007).

It can be written as a sum of positive squares in 8 ways, for example, as 3189631690116 + 110021680330884 = 1785954^2 + 10489122^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113211312021007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170750130 + ... + 171411870.

Almost surely, 2^{113211312021000} is an apocalyptic number.

113211312021000 is a gapful number since it is divisible by the number (10) 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 113211312021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191337471538200).

113211312021000 is an abundant number, since it is smaller than the sum of its proper divisors (269463631055400).

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

113211312021000 is a wasteful number, since it uses less digits than its factorization.

113211312021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680777 (or 680760 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113211312021000 its reverse (120213112311), we get a palindrome (113331525133311).

The spelling of 113211312021000 in words is "one hundred thirteen trillion, two hundred eleven billion, three hundred twelve million, twenty-one thousand".