1011131002040 has 384 divisors, whose sum is σ = 2600406849600. Its totient is φ = 352545177600.

The previous prime is 1011131002039. The next prime is 1011131002061. The reversal of 1011131002040 is 402001311101.

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, 1502423144 + ... + 1502423816.

Almost surely, 2^{1011131002040} is an apocalyptic number.

1011131002040 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 1011131002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300203424800).

1011131002040 is an abundant number, since it is smaller than the sum of its proper divisors (1589275847560).

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

1011131002040 is a wasteful number, since it uses less digits than its factorization.

1011131002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1011131002040 its reverse (402001311101), we get a palindrome (1413132313141).

The spelling of 1011131002040 in words is "one trillion, eleven billion, one hundred thirty-one million, two thousand, forty".