2134103311400 has 48 divisors (see below), whose sum is σ = 4962205657440. Its totient is φ = 853569848000.

The previous prime is 2134103311391. The next prime is 2134103311409. The reversal of 2134103311400 is 41133014312.

It is an interprime number because it is at equal distance from previous prime (2134103311391) and next prime (2134103311409).

It is not an unprimeable number, because it can be changed into a prime (2134103311409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1980725 + ... + 2862075.

It is an arithmetic number, because the mean of its divisors is an integer number (103379284530).

Almost surely, 2^{2134103311400} is an apocalyptic number.

2134103311400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134103311400 is an abundant number, since it is smaller than the sum of its proper divisors (2828102346040).

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

2134103311400 is a wasteful number, since it uses less digits than its factorization.

2134103311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893474 (or 893465 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2134103311400 its reverse (41133014312), we get a palindrome (2175236325712).

The spelling of 2134103311400 in words is "two trillion, one hundred thirty-four billion, one hundred three million, three hundred eleven thousand, four hundred".