1011331211220 has 144 divisors (see below), whose sum is σ = 3346899454080. Its totient is φ = 245148307200.

The previous prime is 1011331211203. The next prime is 1011331211249. The reversal of 1011331211220 is 221121331101.

1011331211220 is a `hidden beast` number, since 10 + 113 + 312 + 11 + 220 = 666.

It is a super-3 number, since 3×1011331211220³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1011331211193 and 1011331211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32121646 + ... + 32153114.

It is an arithmetic number, because the mean of its divisors is an integer number (23242357320).

Almost surely, 2^{1011331211220} is an apocalyptic number.

1011331211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011331211220 is an abundant number, since it is smaller than the sum of its proper divisors (2335568242860).

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

1011331211220 is a wasteful number, since it uses less digits than its factorization.

1011331211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47726 (or 47721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011331211220 its reverse (221121331101), we get a palindrome (1232452542321).

The spelling of 1011331211220 in words is "one trillion, eleven billion, three hundred thirty-one million, two hundred eleven thousand, two hundred twenty".