1001140220431 has 16 divisors (see below), whose sum is σ = 1143060553600. Its totient is φ = 869192516448.

The previous prime is 1001140220371. The next prime is 1001140220453. The reversal of 1001140220431 is 1340220411001.

1001140220431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001140220431 - 2²⁹ = 1000603349519 is a prime.

It is a super-2 number, since 2×1001140220431² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001140220399 and 1001140220408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001140220471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14545521 + ... + 14614186.

It is an arithmetic number, because the mean of its divisors is an integer number (71441284600).

Almost surely, 2^{1001140220431} is an apocalyptic number.

1001140220431 is a deficient number, since it is larger than the sum of its proper divisors (141920333169).

1001140220431 is a wasteful number, since it uses less digits than its factorization.

1001140220431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29159878.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1001140220431 its reverse (1340220411001), we get a palindrome (2341360631432).

The spelling of 1001140220431 in words is "one trillion, one billion, one hundred forty million, two hundred twenty thousand, four hundred thirty-one".