1001403020431 has 32 divisors (see below), whose sum is σ = 1112631386112. Its totient is φ = 893710863360.

The previous prime is 1001403020369. The next prime is 1001403020461. The reversal of 1001403020431 is 1340203041001.

It is a cyclic number.

It is not a de Polignac number, because 1001403020431 - 2³³ = 992813085839 is a prime.

It is a super-2 number, since 2×1001403020431² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001403020399 and 1001403020408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001403020461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146037555 + ... + 146044411.

It is an arithmetic number, because the mean of its divisors is an integer number (34769730816).

Almost surely, 2^{1001403020431} is an apocalyptic number.

1001403020431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001403020431 is a deficient number, since it is larger than the sum of its proper divisors (111228365681).

1001403020431 is a wasteful number, since it uses less digits than its factorization.

1001403020431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1001403020431 its reverse (1340203041001), we get a palindrome (2341606061432).

The spelling of 1001403020431 in words is "one trillion, one billion, four hundred three million, twenty thousand, four hundred thirty-one".