1013101111 has 16 divisors (see below), whose sum is σ = 1207968768. Its totient is φ = 838857600.

The previous prime is 1013101091. The next prime is 1013101139. The reversal of 1013101111 is 1111013101.

It is a cyclic number.

It is not a de Polignac number, because 1013101111 - 2¹¹ = 1013099063 is a prime.

It is a super-2 number, since 2×1013101111² = 2052747722218868642, which 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 (1013107111) 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, 81585 + ... + 93178.

It is an arithmetic number, because the mean of its divisors is an integer number (75498048).

Almost surely, 2^1013101111 is an apocalyptic number.

1013101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013101111 is a deficient number, since it is larger than the sum of its proper divisors (194867657).

1013101111 is a wasteful number, since it uses less digits than its factorization.

1013101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174822.

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

The square root of 1013101111 is about 31829.2492999756. The cubic root of 1013101111 is about 1004.3481035934.

Adding to 1013101111 its reverse (1111013101), we get a palindrome (2124114212).

It can be divided in two parts, 1013101 and 111, that multiplied together give a palindrome (112454211).

The spelling of 1013101111 in words is "one billion, thirteen million, one hundred one thousand, one hundred eleven".