11312110022010 has 256 divisors, whose sum is σ = 31597682688000. Its totient is φ = 2538626448384.

The previous prime is 11312110022009. The next prime is 11312110022011. The reversal of 11312110022010 is 1022001121311.

It is an interprime number because it is at equal distance from previous prime (11312110022009) and next prime (11312110022011).

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

It is not an unprimeable number, because it can be changed into a prime (11312110022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1510896487 + ... + 1510903973.

It is an arithmetic number, because the mean of its divisors is an integer number (123428448000).

Almost surely, 2^{11312110022010} is an apocalyptic number.

11312110022010 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 11312110022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15798841344000).

11312110022010 is an abundant number, since it is smaller than the sum of its proper divisors (20285572665990).

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

11312110022010 is a wasteful number, since it uses less digits than its factorization.

11312110022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11312110022010 its reverse (1022001121311), we get a palindrome (12334111143321).

The spelling of 11312110022010 in words is "eleven trillion, three hundred twelve billion, one hundred ten million, twenty-two thousand, ten".