1011101013 has 24 divisors (see below), whose sum is σ = 1592747520. Its totient is φ = 614334240.

The previous prime is 1011101009. The next prime is 1011101023. The reversal of 1011101013 is 3101011101.

It is not a de Polignac number, because 1011101013 - 2² = 1011101009 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 = 1011100986 and 1011101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011101023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45453 + ... + 63938.

It is an arithmetic number, because the mean of its divisors is an integer number (66364480).

Almost surely, 2^1011101013 is an apocalyptic number.

1011101013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1011101013 is a deficient number, since it is larger than the sum of its proper divisors (581646507).

1011101013 is a wasteful number, since it uses less digits than its factorization.

1011101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109489 (or 109486 counting only the distinct ones).

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

The square root of 1011101013 is about 31797.8145947170. The cubic root of 1011101013 is about 1003.6867289927.

Adding to 1011101013 its reverse (3101011101), we get a palindrome (4112112114).

The spelling of 1011101013 in words is "one billion, eleven million, one hundred one thousand, thirteen".