11031001020 has 288 divisors, whose sum is σ = 38006946432. Its totient is φ = 2569273344.

The previous prime is 11031000983. The next prime is 11031001067. The reversal of 11031001020 is 2010013011.

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 = 11031000993 and 11031001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5219484 + ... + 5221596.

It is an arithmetic number, because the mean of its divisors is an integer number (131968564).

Almost surely, 2^11031001020 is an apocalyptic number.

11031001020 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 11031001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003473216).

11031001020 is an abundant number, since it is smaller than the sum of its proper divisors (26975945412).

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

11031001020 is a wasteful number, since it uses less digits than its factorization.

11031001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2256 counting only the distinct ones).

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

Adding to 11031001020 its reverse (2010013011), we get a palindrome (13041014031).

The spelling of 11031001020 in words is "eleven billion, thirty-one million, one thousand, twenty".