11005013020 has 48 divisors (see below), whose sum is σ = 23891003136. Its totient is φ = 4253760000.

The previous prime is 11005012969. The next prime is 11005013039. The reversal of 11005013020 is 2031050011.

It is a super-2 number, since 2×11005013020² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421960 + ... + 447280.

It is an arithmetic number, because the mean of its divisors is an integer number (497729232).

Almost surely, 2^11005013020 is an apocalyptic number.

11005013020 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 11005013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945501568).

11005013020 is an abundant number, since it is smaller than the sum of its proper divisors (12885990116).

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

11005013020 is a wasteful number, since it uses less digits than its factorization.

11005013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26062 (or 26060 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 11005013020 its reverse (2031050011), we get a palindrome (13036063031).

The spelling of 11005013020 in words is "eleven billion, five million, thirteen thousand, twenty".