1011010000113 has 32 divisors (see below), whose sum is σ = 1549526966400. Its totient is φ = 650728790208.

The previous prime is 1011010000019. The next prime is 1011010000139. The reversal of 1011010000113 is 3110000101101.

It is not a de Polignac number, because 1011010000113 - 2¹⁴ = 1011009983729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011010000095 and 1011010000104.

It is not an unprimeable number, because it can be changed into a prime (1011010000153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26718195 + ... + 26756007.

It is an arithmetic number, because the mean of its divisors is an integer number (48422717700).

Almost surely, 2^{1011010000113} is an apocalyptic number.

It is an amenable number.

1011010000113 is a deficient number, since it is larger than the sum of its proper divisors (538516966287).

1011010000113 is a wasteful number, since it uses less digits than its factorization.

1011010000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71998 (or 71992 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1011010000113 its reverse (3110000101101), we get a palindrome (4121010101214).

The spelling of 1011010000113 in words is "one trillion, eleven billion, ten million, one hundred thirteen", and thus it is an aban number.