1020013110 has 48 divisors (see below), whose sum is σ = 2654065440. Its totient is φ = 271795200.

The previous prime is 1020013097. The next prime is 1020013117. The reversal of 1020013110 is 113100201.

1020013110 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020013092 and 1020013101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020013117) 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, 140551 + ... + 147629.

It is an arithmetic number, because the mean of its divisors is an integer number (55293030).

Almost surely, 2^1020013110 is an apocalyptic number.

1020013110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020013110 is an abundant number, since it is smaller than the sum of its proper divisors (1634052330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020013110 is a wasteful number, since it uses less digits than its factorization.

1020013110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1020013110 is about 31937.6440896945. The cubic root of 1020013110 is about 1006.6270222291.

Adding to 1020013110 its reverse (113100201), we get a palindrome (1133113311).

It can be divided in two parts, 102001 and 3110, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 1020013110 in words is "one billion, twenty million, thirteen thousand, one hundred ten".