103011011133031 has 16 divisors (see below), whose sum is σ = 107566621388800. Its totient is φ = 98538706634400.

The previous prime is 103011011132993. The next prime is 103011011133073. The reversal of 103011011133031 is 130331110110301.

It is a cyclic number.

It is not a de Polignac number, because 103011011133031 - 2²³ = 103011002744423 is a prime.

It is a super-2 number, since 2×103011011133031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011011133931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51209775 + ... + 53183296.

It is an arithmetic number, because the mean of its divisors is an integer number (6722913836800).

Almost surely, 2^{103011011133031} is an apocalyptic number.

103011011133031 is a deficient number, since it is larger than the sum of its proper divisors (4555610255769).

103011011133031 is a wasteful number, since it uses less digits than its factorization.

103011011133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104393470.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 103011011133031 its reverse (130331110110301), we get a palindrome (233342121243332).

The spelling of 103011011133031 in words is "one hundred three trillion, eleven billion, eleven million, one hundred thirty-three thousand, thirty-one".