113111000001001 has 8 divisors (see below), whose sum is σ = 121727942142984. Its totient is φ = 104712208293120.

The previous prime is 113111000000963. The next prime is 113111000001023. The reversal of 113111000001001 is 100100000111311.

It can be written as a sum of positive squares in 4 ways, for example, as 35131415334976 + 77979584666025 = 5927176^2 + 8830605^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113111000001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113111000001301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54537607450 + ... + 54537609523.

It is an arithmetic number, because the mean of its divisors is an integer number (15215992767873).

Almost surely, 2^{113111000001001} is an apocalyptic number.

It is an amenable number.

113111000001001 is a deficient number, since it is larger than the sum of its proper divisors (8616942141983).

113111000001001 is a wasteful number, since it uses less digits than its factorization.

113111000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109075217051.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 113111000001001 its reverse (100100000111311), we get a palindrome (213211000112312).

The spelling of 113111000001001 in words is "one hundred thirteen trillion, one hundred eleven billion, one thousand, one".