10120130211033 has 48 divisors (see below), whose sum is σ = 15462005569920. Its totient is φ = 6369275630592.

The previous prime is 10120130211019. The next prime is 10120130211043. The reversal of 10120130211033 is 33011203102101.

It is not a de Polignac number, because 10120130211033 - 2⁸ = 10120130210777 is a prime.

It is a super-2 number, since 2×10120130211033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120130210997 and 10120130211015.

It is not an unprimeable number, because it can be changed into a prime (10120130211043) 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 47 ways as a sum of consecutive naturals, for example, 306741 + ... + 4509362.

It is an arithmetic number, because the mean of its divisors is an integer number (322125116040).

Almost surely, 2^{10120130211033} is an apocalyptic number.

It is an amenable number.

10120130211033 is a deficient number, since it is larger than the sum of its proper divisors (5341875358887).

10120130211033 is a wasteful number, since it uses less digits than its factorization.

10120130211033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816318 (or 4816315 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10120130211033 its reverse (33011203102101), we get a palindrome (43131333313134).

The spelling of 10120130211033 in words is "ten trillion, one hundred twenty billion, one hundred thirty million, two hundred eleven thousand, thirty-three".