11001013311310 has 32 divisors (see below), whose sum is σ = 21604236682752. Its totient is φ = 3999952382880.

The previous prime is 11001013311289. The next prime is 11001013311331. The reversal of 11001013311310 is 1311331010011.

It is an interprime number because it is at equal distance from previous prime (11001013311289) and next prime (11001013311331).

It is a super-2 number, since 2×11001013311310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4137834 + ... + 6254893.

It is an arithmetic number, because the mean of its divisors is an integer number (675132396336).

Almost surely, 2^{11001013311310} is an apocalyptic number.

11001013311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001013311310 is a deficient number, since it is larger than the sum of its proper divisors (10603223371442).

11001013311310 is a wasteful number, since it uses less digits than its factorization.

11001013311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402368.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 11001013311310 its reverse (1311331010011), we get a palindrome (12312344321321).

The spelling of 11001013311310 in words is "eleven trillion, one billion, thirteen million, three hundred eleven thousand, three hundred ten".