113312000021010 has 256 divisors, whose sum is σ = 335836064563200. Its totient is φ = 23894272456704.

The previous prime is 113312000020981. The next prime is 113312000021039. The reversal of 113312000021010 is 10120000213311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113312000020981) and next prime (113312000021039).

It is a super-2 number, since 2×113312000021010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 20548132 + ... + 25472528.

It is an arithmetic number, because the mean of its divisors is an integer number (1311859627200).

Almost surely, 2^{113312000021010} is an apocalyptic number.

113312000021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113312000021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167918032281600).

113312000021010 is an abundant number, since it is smaller than the sum of its proper divisors (222524064542190).

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

113312000021010 is a wasteful number, since it uses less digits than its factorization.

113312000021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924585.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113312000021010 its reverse (10120000213311), we get a palindrome (123432000234321).

The spelling of 113312000021010 in words is "one hundred thirteen trillion, three hundred twelve billion, twenty-one thousand, ten".