2011000003431 has 16 divisors (see below), whose sum is σ = 2725541515488. Its totient is φ = 1318566643200.

The previous prime is 2011000003429. The next prime is 2011000003547. The reversal of 2011000003431 is 1343000001102.

It is not a de Polignac number, because 2011000003431 - 2¹ = 2011000003429 is a prime.

It is a super-2 number, since 2×2011000003431² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2011000003431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000007431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499091 + ... + 2503851.

It is an arithmetic number, because the mean of its divisors is an integer number (170346344718).

Almost surely, 2^{2011000003431} is an apocalyptic number.

2011000003431 is a deficient number, since it is larger than the sum of its proper divisors (714541512057).

2011000003431 is a wasteful number, since it uses less digits than its factorization.

2011000003431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015762.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2011000003431 its reverse (1343000001102), we get a palindrome (3354000004533).

The spelling of 2011000003431 in words is "two trillion, eleven billion, three thousand, four hundred thirty-one".