1000111121031 has 16 divisors (see below), whose sum is σ = 1540278091008. Its totient is φ = 570473366400.

The previous prime is 1000111121021. The next prime is 1000111121089. The reversal of 1000111121031 is 1301211110001.

It is not a de Polignac number, because 1000111121031 - 2¹⁷ = 1000110989959 is a prime.

It is a super-2 number, since 2×1000111121031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000111120998 and 1000111121016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111121021) 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, 891364075 + ... + 891365196.

It is an arithmetic number, because the mean of its divisors is an integer number (96267380688).

Almost surely, 2^{1000111121031} is an apocalyptic number.

1000111121031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000111121031 is a deficient number, since it is larger than the sum of its proper divisors (540166969977).

1000111121031 is a wasteful number, since it uses less digits than its factorization.

1000111121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782729302.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1000111121031 its reverse (1301211110001), we get a palindrome (2301322231032).

The spelling of 1000111121031 in words is "one trillion, one hundred eleven million, one hundred twenty-one thousand, thirty-one".