4003101312 has 64 divisors (see below), whose sum is σ = 12152280000. Its totient is φ = 1143742464.

The previous prime is 4003101307. The next prime is 4003101329. The reversal of 4003101312 is 2131013004.

4003101312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4003101312² = 32049640228272242688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4003101291 and 4003101300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741937 + ... + 747312.

It is an arithmetic number, because the mean of its divisors is an integer number (189879375).

Almost surely, 2^4003101312 is an apocalyptic number.

4003101312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4003101312 is an abundant number, since it is smaller than the sum of its proper divisors (8149178688).

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

4003101312 is a wasteful number, since it uses less digits than its factorization.

4003101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489273 (or 1489261 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4003101312 is about 63270.0664769684. The cubic root of 4003101312 is about 1587.8111981481.

Adding to 4003101312 its reverse (2131013004), we get a palindrome (6134114316).

The spelling of 4003101312 in words is "four billion, three million, one hundred one thousand, three hundred twelve".