2011241131020 has 120 divisors (see below), whose sum is σ = 6882914153808. Its totient is φ = 487573603200.

The previous prime is 2011241131007. The next prime is 2011241131033. The reversal of 2011241131020 is 201311421102.

2011241131020 is a `hidden beast` number, since 201 + 1 + 2 + 411 + 31 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2011241131007) and next prime (2011241131033).

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 = 2011241130984 and 2011241131002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56414311 + ... + 56449950.

Almost surely, 2^{2011241131020} is an apocalyptic number.

2011241131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011241131020 is an abundant number, since it is smaller than the sum of its proper divisors (4871673022788).

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

2011241131020 is a wasteful number, since it uses less digits than its factorization.

2011241131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112864293 (or 112864282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2011241131020 its reverse (201311421102), we get a palindrome (2212552552122).

The spelling of 2011241131020 in words is "two trillion, eleven billion, two hundred forty-one million, one hundred thirty-one thousand, twenty".