1000031133031 has 16 divisors (see below), whose sum is σ = 1147543891200. Its totient is φ = 853681752000.

The previous prime is 1000031133029. The next prime is 1000031133071. The reversal of 1000031133031 is 1303311300001.

It is not a de Polignac number, because 1000031133031 - 2¹ = 1000031133029 is a prime.

It is a super-2 number, since 2×1000031133031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000031132996 and 1000031133014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000031133001) 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 15 ways as a sum of consecutive naturals, for example, 34891995 + ... + 34920643.

It is an arithmetic number, because the mean of its divisors is an integer number (71721493200).

Almost surely, 2^{1000031133031} is an apocalyptic number.

1000031133031 is a deficient number, since it is larger than the sum of its proper divisors (147512758169).

1000031133031 is a wasteful number, since it uses less digits than its factorization.

1000031133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48774.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1000031133031 its reverse (1303311300001), we get a palindrome (2303342433032).

The spelling of 1000031133031 in words is "one trillion, thirty-one million, one hundred thirty-three thousand, thirty-one".