10111011030131 has 16 divisors (see below), whose sum is σ = 11075598050400. Its totient is φ = 9154018540800.

The previous prime is 10111011030089. The next prime is 10111011030167. The reversal of 10111011030131 is 13103011011101.

It is a cyclic number.

It is not a de Polignac number, because 10111011030131 - 2¹⁰ = 10111011029107 is a prime.

It is a super-2 number, since 2×10111011030131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111011030181) 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, 6781925 + ... + 8137353.

It is an arithmetic number, because the mean of its divisors is an integer number (692224878150).

Almost surely, 2^{10111011030131} is an apocalyptic number.

10111011030131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111011030131 is a deficient number, since it is larger than the sum of its proper divisors (964587020269).

10111011030131 is a wasteful number, since it uses less digits than its factorization.

10111011030131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358230.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 10111011030131 its reverse (13103011011101), we get a palindrome (23214022041232).

The spelling of 10111011030131 in words is "ten trillion, one hundred eleven billion, eleven million, thirty thousand, one hundred thirty-one".