100120130000213 has 12 divisors (see below), whose sum is σ = 106167742927488. Its totient is φ = 94401120257640.

The previous prime is 100120130000207. The next prime is 100120130000227. The reversal of 100120130000213 is 312000031021001.

It is not a de Polignac number, because 100120130000213 - 2⁴⁶ = 29751385822549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120130060213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657130181 + ... + 657282522.

It is an arithmetic number, because the mean of its divisors is an integer number (8847311910624).

Almost surely, 2^{100120130000213} is an apocalyptic number.

It is an amenable number.

100120130000213 is a deficient number, since it is larger than the sum of its proper divisors (6047612927275).

100120130000213 is a wasteful number, since it uses less digits than its factorization.

100120130000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314412952 (or 1314412933 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100120130000213 its reverse (312000031021001), we get a palindrome (412120161021214).

The spelling of 100120130000213 in words is "one hundred trillion, one hundred twenty billion, one hundred thirty million, two hundred thirteen", and thus it is an aban number.