1131010100113 has 8 divisors (see below), whose sum is σ = 1197824565600. Its totient is φ = 1064227241280.

The previous prime is 1131010100093. The next prime is 1131010100123. The reversal of 1131010100113 is 3110010101311.

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

It is a cyclic number.

It is not a de Polignac number, because 1131010100113 - 2²⁹ = 1130473229201 is a prime.

It is a super-2 number, since 2×1131010100113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1131010100093 and 1131010100102.

It is not an unprimeable number, because it can be changed into a prime (1131010100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7827963 + ... + 7971136.

It is an arithmetic number, because the mean of its divisors is an integer number (149728070700).

Almost surely, 2^{1131010100113} is an apocalyptic number.

It is an amenable number.

1131010100113 is a deficient number, since it is larger than the sum of its proper divisors (66814465487).

1131010100113 is a wasteful number, since it uses less digits than its factorization.

1131010100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15803327.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1131010100113 its reverse (3110010101311), we get a palindrome (4241020201424).

The spelling of 1131010100113 in words is "one trillion, one hundred thirty-one billion, ten million, one hundred thousand, one hundred thirteen".