114101304251340 has 384 divisors, whose sum is σ = 377188553484288. Its totient is φ = 25226906664960.

The previous prime is 114101304251327. The next prime is 114101304251353. The reversal of 114101304251340 is 43152403101411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114101304251327) and next prime (114101304251353).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114101304251298 and 114101304251307.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13059547452 + ... + 13059556188.

It is an arithmetic number, because the mean of its divisors is an integer number (982261858032).

Almost surely, 2^{114101304251340} is an apocalyptic number.

114101304251340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114101304251340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188594276742144).

114101304251340 is an abundant number, since it is smaller than the sum of its proper divisors (263087249232948).

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

114101304251340 is a wasteful number, since it uses less digits than its factorization.

114101304251340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13617 (or 13615 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 114101304251340 its reverse (43152403101411), we get a palindrome (157253707352751).

The spelling of 114101304251340 in words is "one hundred fourteen trillion, one hundred one billion, three hundred four million, two hundred fifty-one thousand, three hundred forty".