1030101131031 has 32 divisors (see below), whose sum is σ = 1639487001600. Its totient is φ = 562499629824.

The previous prime is 1030101131029. The next prime is 1030101131093. The reversal of 1030101131031 is 1301311010301.

It is not a de Polignac number, because 1030101131031 - 2¹ = 1030101131029 is a prime.

It is a super-2 number, since 2×1030101131031² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1030101131031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030101131011) 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 31 ways as a sum of consecutive naturals, for example, 509880 + ... + 1523213.

It is an arithmetic number, because the mean of its divisors is an integer number (51233968800).

Almost surely, 2^{1030101131031} is an apocalyptic number.

1030101131031 is a deficient number, since it is larger than the sum of its proper divisors (609385870569).

1030101131031 is a wasteful number, since it uses less digits than its factorization.

1030101131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034175.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1030101131031 its reverse (1301311010301), we get a palindrome (2331412141332).

The spelling of 1030101131031 in words is "one trillion, thirty billion, one hundred one million, one hundred thirty-one thousand, thirty-one".