1070013100 has 72 divisors (see below), whose sum is σ = 2520616448. Its totient is φ = 391910400.

The previous prime is 1070013083. The next prime is 1070013103. The reversal of 1070013100 is 13100701.

It is a super-2 number, since 2×1070013100² = 2289856068343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1070013103) 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, 161860 + ... + 168340.

Almost surely, 2^1070013100 is an apocalyptic number.

1070013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260308224).

1070013100 is an abundant number, since it is smaller than the sum of its proper divisors (1450603348).

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

1070013100 is a wasteful number, since it uses less digits than its factorization.

1070013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 1070013100 is about 32711.0547063221. The cubic root of 1070013100 is about 1022.8132958335.

Adding to 1070013100 its reverse (13100701), we get a palindrome (1083113801).

The spelling of 1070013100 in words is "one billion, seventy million, thirteen thousand, one hundred".