3101013312000 has 320 divisors, whose sum is σ = 10378469806848. Its totient is φ = 821452800000.

The previous prime is 3101013311923. The next prime is 3101013312013. The reversal of 3101013312000 is 2133101013.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3101013312000² (a number of 26 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28938520 + ... + 29045480.

Almost surely, 2^{3101013312000} is an apocalyptic number.

3101013312000 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 3101013312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189234903424).

3101013312000 is an abundant number, since it is smaller than the sum of its proper divisors (7277456494848).

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

3101013312000 is a wasteful number, since it uses less digits than its factorization.

3101013312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107148 (or 107122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3101013312000 its reverse (2133101013), we get a palindrome (3103146413013).

The spelling of 3101013312000 in words is "three trillion, one hundred one billion, thirteen million, three hundred twelve thousand".