101003032011311 has 8 divisors (see below), whose sum is σ = 101038054887600. Its totient is φ = 100968011352000.

The previous prime is 101003032011283. The next prime is 101003032011317. The reversal of 101003032011311 is 113110230300101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101003032011311 is a prime.

It is a super-2 number, since 2×101003032011311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101003032011311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003032011317) 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, 93328445 + ... + 94404473.

It is an arithmetic number, because the mean of its divisors is an integer number (12629756860950).

Almost surely, 2^{101003032011311} is an apocalyptic number.

101003032011311 is a deficient number, since it is larger than the sum of its proper divisors (35022876289).

101003032011311 is a wasteful number, since it uses less digits than its factorization.

101003032011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108489.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101003032011311 its reverse (113110230300101), we get a palindrome (214113262311412).

The spelling of 101003032011311 in words is "one hundred one trillion, three billion, thirty-two million, eleven thousand, three hundred eleven".