11312000101 has 16 divisors (see below), whose sum is σ = 11830633200. Its totient is φ = 10802176000.

The previous prime is 11312000087. The next prime is 11312000111. The reversal of 11312000101 is 10100021311.

It can be written as a sum of positive squares in 8 ways, for example, as 208109476 + 11103890625 = 14426^2 + 105375^2 .

It is a cyclic number.

It is not a de Polignac number, because 11312000101 - 2⁵ = 11312000069 is a prime.

It is a super-2 number, since 2×11312000101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4125591 + ... + 4128331.

It is an arithmetic number, because the mean of its divisors is an integer number (739414575).

Almost surely, 2^11312000101 is an apocalyptic number.

It is an amenable number.

11312000101 is a deficient number, since it is larger than the sum of its proper divisors (518633099).

11312000101 is a wasteful number, since it uses less digits than its factorization.

11312000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11312000101 its reverse (10100021311), we get a palindrome (21412021412).

The spelling of 11312000101 in words is "eleven billion, three hundred twelve million, one hundred one", and thus it is an aban number.