10101011102013 has 8 divisors (see below), whose sum is σ = 14504015941408. Its totient is φ = 6216006831984.

The previous prime is 10101011102003. The next prime is 10101011102023. The reversal of 10101011102013 is 31020111010101.

It is an interprime number because it is at equal distance from previous prime (10101011102003) and next prime (10101011102023).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10101011102013 - 2⁶ = 10101011101949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101011102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101011102003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129500142295 + ... + 129500142372.

It is an arithmetic number, because the mean of its divisors is an integer number (1813001992676).

Almost surely, 2^{10101011102013} is an apocalyptic number.

10101011102013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10101011102013 is a deficient number, since it is larger than the sum of its proper divisors (4403004839395).

10101011102013 is a wasteful number, since it uses less digits than its factorization.

10101011102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259000284683.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10101011102013 its reverse (31020111010101), we get a palindrome (41121122112114).

The spelling of 10101011102013 in words is "ten trillion, one hundred one billion, eleven million, one hundred two thousand, thirteen".