213011909036752 has 160 divisors (see below), whose sum is σ = 504716650352640. Its totient is φ = 85124439966720.

The previous prime is 213011909036737. The next prime is 213011909036767. The reversal of 213011909036752 is 257630909110312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213011909036737) and next prime (213011909036767).

It is a junction number, because it is equal to n+sod(n) for n = 213011909036696 and 213011909036705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9734703 + ... + 22820785.

It is an arithmetic number, because the mean of its divisors is an integer number (3154479064704).

Almost surely, 2^{213011909036752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213011909036752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252358325176320).

213011909036752 is an abundant number, since it is smaller than the sum of its proper divisors (291704741315888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213011909036752 is a wasteful number, since it uses less digits than its factorization.

213011909036752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13086281 (or 13086275 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The spelling of 213011909036752 in words is "two hundred thirteen trillion, eleven billion, nine hundred nine million, thirty-six thousand, seven hundred fifty-two".